On passage to the limit in quasilinear elliptic equations with several independent variables

Conditions are established under which the solution of the first boundary value problem for a sequence of linear or quasilinear uniformly elliptic equations with weakly convergent coefficients converges to the solution of the respective limit problem. One of the main requirements in those conditions is weak equicontinuity, with respect to the independent variables, of the leading coefficients of the equations being considered. Examples show that these conditions of the theorems are essential.
Bibliography: 18 titles.